How do you simplify #\frac { 11} { 3} + \frac { 23} { 5}#?

1 Answer
Jim G.
Sep 22, 2017

#124/15#

Explanation:

#"before we can add the fractions we require them to"#
#"have a "color(blue)"common denominator"#

#"the "color(blue)"lowest common multiple"" of 3 and 5 is 15"#

#"multiply the numerator/denominator of "11/3" by 5"#

#"multiply the numerator/denominator of "23/5" by 3"#

#rArr(11/3xx5/5)+(23/5xx3/3)#

#=55/15+69/15#

#"add the numerators leaving the denominator as it is"#

#rArr(55+69)/15=124/15#

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